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2 years ago

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Costs associated with the manufacture of miniature high-sensitivity piezoresistive pressure transducers is, $73,000 per year. A

clever industrial engineer found that by spending $16,000 now to reconfigure the production line and reprogram two of the robotic arms, the cost will go down to $58,000 next year and $52,000 in years 2 through 5. Using an interest rate of 10% per year, determine the present worth of the savings due to the reconfiguration. (Hint: Include the reconfiguration cost.)

1 answer:

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

$58,149

Explanation:

Calculation to determine the present worth of the savings

First step is to calculate for Present worth before

Present worth before= 73,000(P/A,10%,5)

Present worth before= 73,000(3.7908)

Present worth before= $276,728

Second step is to calculate for Present worth after

Present worth after= 16,000 + 58,000(P/F,10%,1) + 52,000(P/A,10%,4)(P/F,10%,1)

Present worth after= 16,000 + 58,000(0.9091) + 52,000(3.1699)(0.9091)

Present worth after=16,000+52,728+149,851

Present worth after= $218,579

Last step is to calculate for Present worth of savings using this formula

Present worth of savings=Present worth before-Present worth after

Let plug in the formula

Present worth of savings = 276,728–218,579

Present worth of savings= $58,149

Therefore the present worth of the savings will be $58,149

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The expected value is the sum of the product of each possibility x with its probability P(x):

E(x) = ∑ xP(x)

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